Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

Rui Baldwin 2021-09-22

The Laplace transform L ${e^{- t^{2}}}$ exists, but without finding it solve the initial-value problem $y^{″} + 9 y = 3 e^{- t^{2}}, y (0) = 0, y^{'} (0) = 0$

alesterp 2021-09-22

Use Laplace transforms to solve the following initial value problem.
$x^{(3)} + x -6x'=0, x(0)=0 , x'(0)=x (0) = 7$
The solution is x(t)=?

tabita57i 2021-09-22

solve the given initial-value problem.
$y 3 y^{'} + 2 y = δ (t - 1), y (0) = 1, y^{'} (0) = 0$

Emily-Jane Bray 2021-09-22

$L^{- 1} \frac{s - 4}{4 {(s - 3)}^{2} + 16}$

sagnuhh 2021-09-21

The Laplace transform function for the output voltage of a network is expressed in the following form:
$V_{0} (s) = \frac{12 (s + 2)}{s (s + 1) (s + 3) (s + 4)}$
Determine the final value of this voltage. that is,
$υ_{0} (t)$ as $t \to \infty$
a) 6V
b) 2V
c) 12V
d) 4V

permaneceerc 2021-09-21

Find Laplace transformation of the intengral from 0 to t of $τ \cos (3 τ) d τ$

Rui Baldwin 2021-09-20

Obtain Laplace transforms for the function $e^{t}$ step(t−3)

boitshupoO 2021-09-19

Find the inverse Laplace transform of the following:
$H (s) = \frac{2 e^{- s}}{s^{2} (s + 3)}$

Bevan Mcdonald 2021-09-19

find the inverse Laplace transform of the given function.
$F (s) = \frac{3!}{{(s - 2)}^{4}}$

permaneceerc 2021-09-19

Derive Laplace Transform of the following:
a) $f (t) = e^{- a t}$
b) $f (t) = t$ c) $f (t) = t^{2}$
d) $\cosh t$

glamrockqueen7 2021-09-19

Find the inverse Laplace transform of the following transfer function:
$\frac{Y (s)}{U (s)} = \frac{50}{{(s + 7)}^{2} + 25}$
Select one:
a) $f (t) = 10 e^{- 7 t} \sin (5 t)$
b) $f (t) = 10 e^{7 t} \sin (5 t)$
c) $f (t) = 50 e^{- 7 t} \sin (5 t)$
d) $f (t) = 2 e^{- 7 t} \sin (5 t)$

ankarskogC 2021-09-19

Do the laplace transform of $L {t - e^{3 t}}$

amanf 2021-09-18

determine the inverse Laplace transform of the function.
$L^{- 1} {R (s)} = L^{- 1} {\frac{7}{(s + 3) (s - 3)}}$

Albarellak 2021-09-18

Compute the Laplace transform of $f (t) = \cos (R t - 7)$ take R as 70

abondantQ 2021-09-18

Find Laplace transforms of $\sin h 3 t$ $\cos^{2} 2 t$

Tazmin Horton 2021-09-18

Use Laplace transforms to solve the initial value problems.
$y y^{'} = δ (t) - δ (t - 3), y (0) = 1, y^{'} (0) = 0$

nagasenaz 2021-09-18

determine the inverse Laplace transform of the given function.
$F (s) = \frac{2 s + 1}{s^{2} + 16}$

Marvin Mccormick 2021-09-18

Find the Laplace Transform of the function.
$x (t) = 3 e^{4 (t + 2)} u (t + 2) + 3 (t - 5) u (t - 5) + 3 \sin (t + 2) u (t + 2)$

Amari Flowers 2021-09-18

Find f(t)
$L^{- 1} {\frac{(3 s - 1)}{s^{2} (s + 1)^{3}}}$

geduiwelh 2021-09-18

Find inverse laplace transform.
$F (s) = \frac{1}{s (s^{2} + s + 1)}$

Speaking of differential equations, these are used not only by those students majoring in Physics because solving differential equations is also quite common in Statistics and Financial Studies. Explore the list of questions and examples of equations to get a basic idea of how it is done.

These answers below are meant to provide you with the starting points as you work with your differential equations. If you need specific help or cannot understand the rules behind the answers that are presented below, start with a simple equation and learn with the provided solutions..

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